Ruzsa’s genus-one problem

witness #1798

N
17,750
|A|
100
exponent log |A| / log N
0.4707
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:45:49 UTC

Elements (100)

58, 60, 65, 68, 83, 85, 90, 93, 183, 185, 190, 193, 208, 210, 215, 218, 770, 775, 779, 795, 800, 804, 895, 900, 904, 920, 925, 929, 2193, 2213, 2218, 2238, 2318, 2338, 2343, 2363, 3618, 3630, 3638, 3643, 3655, 3663, 3743, 3755, 3763, 3768, 3780, 3788, 4325, 4329, 4335, 4344, 4350, 4354, 4360, 4369, 4450, 4454, 4460, 4469, 4475, 4479, 4485, 4494, 5768, 5793, 5893, 5918, 7165, 7180, 7190, 7205, 7290, 7305, 7315, 7330, 9303, 9313, 9328, 9338, 9428, 9438, 9453, 9463, 10708, 10733, 10833, 10858, 11445, 11470, 11570, 11595, 14974, 14994, 14999, 15019, 15099, 15119, 15124, 15144

Commentary

Continuation of the 25-copy 29-core construction to N=17750. This improves the previous 94-point record to 100; all blocks use core 25*{0,1,5,6}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:45:49 UTC · history

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